Question

If Bill was traveling v mi/h, how would you represent Daemon's speed in mi/h if he was traveling 45 mi/h faster?

Answer 1

The sum of two variables having the same units is given by adding the magnitudes of the quantities and expressing the outcome in the units of the quantities

Daemon's speed is (v + 45) mi/h

The reason the above value for Daemon's speed is correct is as follows:

The known parameters are;

The speed with which Bill was travelling = v mi/h

The speed with which Daemon was travelling = 45 mi/h faster than Bill

Method:

By dimensional analysis, we note that the given quantities have the same units, and therefore, they represent the same quantity of speed

To find Daemon's speed, the amount by which his speed is more than that of Bill's speed is added to the given amount of Bill's speed as follows;

Solution:

Daemon's speed = v mi/h + 45 mi/h = (v + 45) mi/h

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